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34540021500 = 2235336762743
BaseRepresentation
bin100000001010101111…
…101110011011111100
310022011011010220001120
4200022233232123330
51031214221142000
623511212310540
72331635224065
oct401257563374
9108134126046
1034540021500
1113714a3a416
12683b472450
133345b4215a
1419593b156c
15d724c06a0
hex80abee6fc

34540021500 has 96 divisors (see below), whose sum is σ = 100856211456. Its totient is φ = 9185428800.

The previous prime is 34540021493. The next prime is 34540021501. The reversal of 34540021500 is 512004543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34540021501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519129 + ... + 581871.

It is an arithmetic number, because the mean of its divisors is an integer number (1050585536).

Almost surely, 234540021500 is an apocalyptic number.

34540021500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34540021500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50428105728).

34540021500 is an abundant number, since it is smaller than the sum of its proper divisors (66316189956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34540021500 is a wasteful number, since it uses less digits than its factorization.

34540021500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63132 (or 63120 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 34540021500 in words is "thirty-four billion, five hundred forty million, twenty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 367 375 500 734 750 1101 1468 1500 1835 2202 3670 4404 5505 7340 9175 11010 18350 22020 27525 36700 45875 55050 62743 91750 110100 125486 137625 183500 188229 250972 275250 313715 376458 550500 627430 752916 941145 1254860 1568575 1882290 3137150 3764580 4705725 6274300 7842875 9411450 15685750 18822900 23026681 23528625 31371500 46053362 47057250 69080043 92106724 94114500 115133405 138160086 230266810 276320172 345400215 460533620 575667025 690800430 1151334050 1381600860 1727001075 2302668100 2878335125 3454002150 5756670250 6908004300 8635005375 11513340500 17270010750 34540021500